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Finding the Third Proportional to 270.56 and 561.80

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Solution

The third proportional to 270.56 and 561.80 is: 1,166.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.56 : 561.80 = 561.80 : x
  2. Step 2: Convert to fraction form
    270.56/561.80 = 561.80/x
  3. Step 3: Cross multiply
    270.56x = 561.80 × 561.80
  4. Step 4: Simplify right side
    270.56x = 315,615.73
  5. Step 5: Solve for x
    x = 315,615.73/270.56
  6. Step 6: Final answer
    x = 1,166.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.